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Join[{0, 0}, RealDigits[1/117, 10, 120][[1]]] (* or *) PadRight[{}, 120, {0, 0, 8, 5, 4, 7}] (* Harvey P. Dale, Jul 10 2024 *)
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<a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (1, -1, 1, -1, 1).
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a(n)=(1/30)*{43*(n mod 6)-7*[(n+1) mod 6]+13*[(n+2) mod 6]+23*[(n+3) mod 6]-32*[(n+4) mod 6]+8*[(n+5) mod 6]}, with n>=0 [From Paolo P. Lava, Sep 10 2009]
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a(n)=(1/30)*{43*(n mod 6)-7*[(n+1) mod 6]+13*[(n+2) mod 6]+23*[(n+3) mod 6]-32*[(n+4) mod 6]+8*[(n+5) mod 6]}, with n>=0 [From _Paolo P. Lava (paoloplava(AT)gmail.com), _, Sep 10 2009]
_N. J. A. Sloane (njas(AT)research.att.com)_.
a(n)=(1/30)*{43*(n mod 6)-7*[(n+1) mod 6]+13*[(n+2) mod 6]+23*[(n+3) mod 6]-32*[(n+4) mod 6]+8*[(n+5) mod 6]}, with n>=0 [From Paolo P. Lava (pplpaoloplava(AT)splgmail.atcom), Sep 10 2009]
G.f.:-x^2*(7*x^2-3*x+8)/((x-1)*(x^2+x+1)*(x^2-x+1)) [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 11 2009]
a(n)=(1/30)*{43*(n mod 6)-7*[(n+1) mod 6]+13*[(n+2) mod 6]+23*[(n+3) mod 6]-32*[(n+4) mod 6]+8*[(n+5) mod 6]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Sep 10 2009]
nonn,cons,new